Abstract
The task of creating a stable orbit of the Apophis asteroid satellite as a homogeneous triaxial ellipsoid is investigated. The simulation of the motion of the spacecraft around the asteroid was performed taking into account the main perturbations: from the attraction of celestial bodies, asteroids non-sphericity and solar radiation pressure, and taking into account the asteroids own rotation. It is shown that it is possible to create a stable orbit of an asteroid satellite. This orbit can be used for a detailed study of the characteristics of the asteroid and the refinement of its orbit using ground radio measurements of the motion of a satellite equipped with a radio beacon.
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